Relativity, Gravitation and Cosmology: A Basic IntroductionOxford University Press, 2010 - 435 halaman Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe. The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own. |
Isi
Relativity Metric Description of Spacetime | 39 |
Cosmology | 179 |
Relativity Full Tensor Formulation | 277 |
Endnotes | 359 |
Answer keys to review questions | 361 |
Solutions to selected problems | 372 |
Glossary of symbols and acronyms | 415 |
419 | |
Physical constants | 425 |
427 | |
Edisi yang lain - Lihat semua
Relativity, Gravitation and Cosmology: A Basic Introduction Ta-Pei Cheng Pratinjau tidak tersedia - 2009 |
Relativity, Gravitation and Cosmology: A Basic Introduction Ta-Pei Cheng Pratinjau tidak tersedia - 2009 |
Istilah dan frasa umum
4-vector accelerating angular baryonic basis vectors big bang black hole calculation Chapter Christoffel symbols clock components coordinate system coordinate transformations cosmic cosmological constant covariant curvature tensor curved space curved spacetime dark energy dark matter dilation discussed distance Einstein equation electromagnetic elements energy density energy–momentum tensor event horizon expansion flat universe Friedmann equation galaxies geodesic equation geometry GR field equation gravitational field gravitational potential gravitational redshift gravitational wave Hubble inertial frames interval light ray lightcones Lorentz transformation luminosity mass density matrix measured metric tensor Minkowski momentum motion neutrinos Newton’s Newtonian nonrelativistic observer orbit parallel transport parameter particle photon polar Problem quantum radiation radius redshift relation relativistic rest frame result rotation scalar scale factor Schwarzschild Section solution spatial special relativity speed spherical star surface symmetry temperature theory tion vacuum energy velocity worldline ημν